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SashulF [63]
2 years ago
8

Are these rates equivalent, 96 words typed for 3 minutes; 160 words typed for 5 minutes

Mathematics
1 answer:
monitta2 years ago
3 0
<h2>Greetings</h2>

Answer:

Yes, they are.

Step-by-step explanation:

<h3>1st rate)</h3>

Lets simplify both rates to the rate typer per minute.

(m is minutes)

3m = 96

Divide both sides by 3:

\frac{3m}{3} = \frac{96}{3}

m = 32

So the rate is 32 words per minute.

<h3>2nd rate</h3>

5m = 160

Divide both sides by 5:

\frac{5m}{5} = \frac{160}{5}

m = 32

<h3>So because the rates per minute are the same, they are equivalent.</h3>
<h2>Hope this helps!</h2>
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CONCEPTS OF ALGEBRA<br> (question in picture)<br> PLEASE HELP!<br> 10 points
il63 [147K]

Hey there!

This equation we're given is a function. This means that we will get a certain output for each input. If your input is x, the output, or y, will be 0.3 of x plus 11.8. It appears that the independent variable (our x) is the age in the table and the height of the jump is the dependent variable (our y). We can plug some of the data into our function and see if it is true! We will use the first two columns of the table to test this out.

--------------------------------------------------------------------------------------------

                                                   Column 1

Age: 22

Height of Jump in Inches: 15.4

15.4=0.3(22)+11.8

15.4=6.6+11.8

15.4=18.4

This is equation is false, so this data point does not match the given function. We can check with one more column just to make sure, but just given this we immediately know that the given equation is not a good fit for the data.

--------------------------------------------------------------------------------------------

                                                   Column 2

Age: 24

Height of Jump in Inches: 17

17= 0.3(24)+11.8

17=7.2+11.8

17=19

This is equation is also false.

--------------------------------------------------------------------------------------------

Therefore, this equation is not a good fit for the data given.

I hope that this helps! Have a wonderful day!

3 0
3 years ago
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vova2212 [387]

Step-by-step explanation:

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